Unfurl them when admirer is absent (6)
I believe the answer is:
fanout
'unfurl them' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.
'admirer is absent' is the wordplay.
'admirer' becomes 'fan' (fan is a kind of admirer).
'is absent' becomes 'out' (similar in meaning).
'fan'+'out'='FANOUT'
'when' acts as a link.
Can you help me to learn more?
(Other definitions for fanout that I've seen before include "Spread wide like lady's cooler - admirer not in" , "Scatter or spread like hand-held cooler" .)